An investigation was carried out to demonstrate the possibility of recovering spherical harmonic potential coefficients up to high degree and order from gradiometric measurements. Observatioons were taken from one month simulated GRM gradient data computed at the Center of Space Research at the University of Texas. For least squares adjustment a linear observation model was chosen from which the radial orbit uncertainties were eliminated. A solution up to degree and order 180 proved to be very promising, whereas a 360 solution showed degraded results due to the too short mission and the non-homogeneous data coverage. ¿American Geophysical Union 1991